



There
are lots of fancy tricks to help you graph big equations.



You
will see a lot of them in the next few pages. 


Sometimes
it is easy to see what tricks to use, but sometimes it isn't. 





When
it's not, 


like
when you have something like: 


Y = X^{2}
2X + 2



You
can graph it like this: 





Draw
a long T. Put an X and a Y at the top 








Now
pick some values for X and write them under the X: 





Now,
solve the equation for each of the X values you chose. 


Write
the value you get for Y in the table under the Y 


next
to the X value you used to get it. 






Y = X^{2}
2X + 2




Y = (3)^{2}
2(3) + 2 



Y = 9 + 6 + 2 



Y = 17 








Now
work out the rest of the values for the "T" table. 





X
= 2 

X
= 1 
Y = (2)^{2}
2(2) + 2 

Y = (1)^{2}
2(1) + 2 
Y = 4 + 4 +
2 

Y = 1 + 2 +
2 
Y = 10 

Y = 5 



X
= 0 

X
= 1 
Y = (0)^{2}
2(0) + 2 

Y = (1)^{2}
2(1) + 2 
Y = 0 + 0 +
2 

Y = 1 2 + 2 
Y = 2 

Y = 1 



X
= 2 

X
= 3 
Y = (2)^{2}
2(2) + 2 

Y = (3)^{2}
2(3) + 2 
Y = 4  4 +
2 

Y = 9  6 +
2 
Y = 2 

Y = 5 






Now
fill in the table: 





Now
put these points on a graph: 





The
last step is to connect the dots. 








copyright 2005 Bruce Kirkpatrick 
